(2X-4)-(14-x)=1

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Solution for (2X-4)-(14-x)=1 equation:


Simplifying
(2X + -4) + -1(14 + -1x) = 1

Reorder the terms:
(-4 + 2X) + -1(14 + -1x) = 1

Remove parenthesis around (-4 + 2X)
-4 + 2X + -1(14 + -1x) = 1
-4 + 2X + (14 * -1 + -1x * -1) = 1
-4 + 2X + (-14 + 1x) = 1

Reorder the terms:
-4 + -14 + 2X + 1x = 1

Combine like terms: -4 + -14 = -18
-18 + 2X + 1x = 1

Solving
-18 + 2X + 1x = 1

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '18' to each side of the equation.
-18 + 2X + 18 + 1x = 1 + 18

Reorder the terms:
-18 + 18 + 2X + 1x = 1 + 18

Combine like terms: -18 + 18 = 0
0 + 2X + 1x = 1 + 18
2X + 1x = 1 + 18

Combine like terms: 1 + 18 = 19
2X + 1x = 19

Add '-1x' to each side of the equation.
2X + 1x + -1x = 19 + -1x

Combine like terms: 1x + -1x = 0
2X + 0 = 19 + -1x
2X = 19 + -1x

Divide each side by '2'.
X = 9.5 + -0.5x

Simplifying
X = 9.5 + -0.5x

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